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Finding the Fourth Proportional to 760.44, 1,140.71 and 212.66

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Solution

The fourth proportional to 760.44, 1,140.71 and 212.66 is: 319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.44 : 1,140.71 = 212.66 : x
  2. Step 2: Convert to fraction form
    760.44/1,140.71 = 212.66/x
  3. Step 3: Cross multiply
    760.44x = 1,140.71 × 212.66
  4. Step 4: Simplify right side
    760.44x = 242,580.90
  5. Step 5: Solve for x
    x = 242,580.90/760.44
  6. Step 6: Final answer
    x = 319.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.